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چکیده
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In this work, considering the importance of pure states in quantum technologies, we will study the production of
continuous variable stationary Gaussian states with maximum purity using the cooling process. To this aim, we
consider one and two-mode continuous variable Gaussian systems. It is worth to remark that, since the
maximum value of the purity of Gaussian states corresponds to the minimum value of the determinant of the
covariance matrix, and on the other hand, the dynamics of the covariance matrix, according to the diffusion
equation, depends on the Hamiltonian of the system and the parameters of the environment. Therefore, in this
work, for a given environment, we will determine the Hamiltonian parameters of the system such that it leads to
the minimum value of the determinant of the covariance matrix. Indeed, by choosing the optimal Hamiltonian of
the system, we will produce stationary Gaussian states with maximum purity
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